$C_0$ -群和余弦函数的Hermite展开
Hermite expansions of $C_0$-groups and cosine functions
摘要：
本文引入向量值Hermite展开来逼近单参数算子族，如$C_0$ -群和余弦函数。在这两种情况下，我们估计的收敛速率，这些厄米展开相关的家庭和比较与其他已知的近似。最后，我们用$C_0$ -群和余弦函数及其Hermite展开的具体例子来说明我们的结果。
英文摘要：
In this paper we introduce vector-valued Hermite expansions to approximate one-parameter operator families such as $C_0$-groups and cosine functions. In both cases we estimate the rate of convergence of these Hermite expansions to the related family and compare with other known approximations. Finally we illustrate our results with particular examples of $C_0$-groups and cosine functions and their Hermite expansions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
